On the temperature-jump problem in rarefied gas dynamics : the effect of the cercignani-lampis boundary condition

Detalhes bibliográficos
Autor(a) principal: Knackfuss, Rosenei Felippe
Data de Publicação: 2006
Outros Autores: Barichello, Liliane Basso
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/180020
Resumo: An analytical version of the discrete-ordinates method (the ADO method) is used to establish a solution to the temperature-jump problem in the rarefied gas dynamics field. Kinetic models derived from the linearized Boltzmann equation are used to formulate the problem in the one gas case and for a binary gas mixture. The gas-surface interaction is described by the Cercignani-Lampis kernel, which is written int therms of two accomodation coefficients. The solution is found to be very accurate and fast. Numerical results are presented not only for the temperature-jump coefficient but also for the density and temperature profiles. In particular, the effect of both accommodation coefficients on the temperature-jump coefficient is analyzed.
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spelling Knackfuss, Rosenei FelippeBarichello, Liliane Basso2018-07-03T02:25:56Z20060036-1399http://hdl.handle.net/10183/180020000589704An analytical version of the discrete-ordinates method (the ADO method) is used to establish a solution to the temperature-jump problem in the rarefied gas dynamics field. Kinetic models derived from the linearized Boltzmann equation are used to formulate the problem in the one gas case and for a binary gas mixture. The gas-surface interaction is described by the Cercignani-Lampis kernel, which is written int therms of two accomodation coefficients. The solution is found to be very accurate and fast. Numerical results are presented not only for the temperature-jump coefficient but also for the density and temperature profiles. In particular, the effect of both accommodation coefficients on the temperature-jump coefficient is analyzed.application/pdfengSIAM journal on applied mathematics. Philadelphia, Pa. Vol. 66, no. 6 (2006), p. 2149-2186.Dinâmica de gasesRarefaçãoOrdenadas discretasKernel de cercignani-lampisOn the temperature-jump problem in rarefied gas dynamics : the effect of the cercignani-lampis boundary conditionEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000589704.pdf000589704.pdfTexto completo (inglês)application/pdf8293374http://www.lume.ufrgs.br/bitstream/10183/180020/1/000589704.pdfa9ae914a6d8d585994ace135369a49bcMD51TEXT000589704.pdf.txt000589704.pdf.txtExtracted Texttext/plain38http://www.lume.ufrgs.br/bitstream/10183/180020/2/000589704.pdf.txte3218ab33b3569578debd2c2d4a04f11MD5210183/1800202018-07-04 02:27:03.621298oai:www.lume.ufrgs.br:10183/180020Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2018-07-04T05:27:03Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv On the temperature-jump problem in rarefied gas dynamics : the effect of the cercignani-lampis boundary condition
title On the temperature-jump problem in rarefied gas dynamics : the effect of the cercignani-lampis boundary condition
spellingShingle On the temperature-jump problem in rarefied gas dynamics : the effect of the cercignani-lampis boundary condition
Knackfuss, Rosenei Felippe
Dinâmica de gases
Rarefação
Ordenadas discretas
Kernel de cercignani-lampis
title_short On the temperature-jump problem in rarefied gas dynamics : the effect of the cercignani-lampis boundary condition
title_full On the temperature-jump problem in rarefied gas dynamics : the effect of the cercignani-lampis boundary condition
title_fullStr On the temperature-jump problem in rarefied gas dynamics : the effect of the cercignani-lampis boundary condition
title_full_unstemmed On the temperature-jump problem in rarefied gas dynamics : the effect of the cercignani-lampis boundary condition
title_sort On the temperature-jump problem in rarefied gas dynamics : the effect of the cercignani-lampis boundary condition
author Knackfuss, Rosenei Felippe
author_facet Knackfuss, Rosenei Felippe
Barichello, Liliane Basso
author_role author
author2 Barichello, Liliane Basso
author2_role author
dc.contributor.author.fl_str_mv Knackfuss, Rosenei Felippe
Barichello, Liliane Basso
dc.subject.por.fl_str_mv Dinâmica de gases
Rarefação
Ordenadas discretas
Kernel de cercignani-lampis
topic Dinâmica de gases
Rarefação
Ordenadas discretas
Kernel de cercignani-lampis
description An analytical version of the discrete-ordinates method (the ADO method) is used to establish a solution to the temperature-jump problem in the rarefied gas dynamics field. Kinetic models derived from the linearized Boltzmann equation are used to formulate the problem in the one gas case and for a binary gas mixture. The gas-surface interaction is described by the Cercignani-Lampis kernel, which is written int therms of two accomodation coefficients. The solution is found to be very accurate and fast. Numerical results are presented not only for the temperature-jump coefficient but also for the density and temperature profiles. In particular, the effect of both accommodation coefficients on the temperature-jump coefficient is analyzed.
publishDate 2006
dc.date.issued.fl_str_mv 2006
dc.date.accessioned.fl_str_mv 2018-07-03T02:25:56Z
dc.type.driver.fl_str_mv Estrangeiro
info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/180020
dc.identifier.issn.pt_BR.fl_str_mv 0036-1399
dc.identifier.nrb.pt_BR.fl_str_mv 000589704
identifier_str_mv 0036-1399
000589704
url http://hdl.handle.net/10183/180020
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.pt_BR.fl_str_mv SIAM journal on applied mathematics. Philadelphia, Pa. Vol. 66, no. 6 (2006), p. 2149-2186.
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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instname_str Universidade Federal do Rio Grande do Sul (UFRGS)
instacron_str UFRGS
institution UFRGS
reponame_str Repositório Institucional da UFRGS
collection Repositório Institucional da UFRGS
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